All expressions are german. And since I am german, I should be able to explain something.

"Vinkuliert "means, that if you want to buy the shares, the other shareholders could theoretically deny you the purchase. The term "vinkuliert" is used in combination with the word "Namensaktien" which means that the stockholders are listed and known with their name. If you buy some of these shares, there can be an additional fee.

"Genussschein" is a paper which grants the holder certain rights. This can be a part of the company profits or other rights.

"Liquidationsschein" I never heard of that, but it could have something to do with the liquidation of a company.

does all this stuff exert any serious influence on the way of trading a particular stock?

for example - will any nuances arise from the fact that this symbol is not a common stock but ADR or IDR or it is Voting stock or ...etc ????

or all of them going the same way not depending on the their form ??

More...

Before you trade a stock look at the daily volume over the last months and where the stock is traded. You may notice a big difference between different classes of stock or ADR's traded at a foreign exchange compared to the volume and spreads in the home country.
But in general if they go up, they will all go up and vice versa.
You should concentrate on the most liquid symbols for the company.

I think the main difference between European and US markets is the absence of different electronic platforms in one country. In Germany you trade electronically over Xetra. Some cities have floors, but i think 90% of the volume of DAX stocks are traded over Xetra. So no hassle with market makers